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Finding the Third Proportional to 2,701.50 and 4,296.75

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Solution

The third proportional to 2,701.50 and 4,296.75 is: 6,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.50 : 4,296.75 = 4,296.75 : x
  2. Step 2: Convert to fraction form
    2,701.50/4,296.75 = 4,296.75/x
  3. Step 3: Cross multiply
    2,701.50x = 4,296.75 × 4,296.75
  4. Step 4: Simplify right side
    2,701.50x = 18,462,060.56
  5. Step 5: Solve for x
    x = 18,462,060.56/2,701.50
  6. Step 6: Final answer
    x = 6,834.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.